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Simplifying 20k2 + -155k = 0 Reorder the terms: -155k + 20k2 = 0 Solving -155k + 20k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '5k'. 5k(-31 + 4k) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'k' equal to zero and attempt to solve: Simplifying k = 0 Solving k = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k = 0Subproblem 2
Set the factor '(-31 + 4k)' equal to zero and attempt to solve: Simplifying -31 + 4k = 0 Solving -31 + 4k = 0 Move all terms containing k to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 4k = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 4k = 0 + 31 4k = 0 + 31 Combine like terms: 0 + 31 = 31 4k = 31 Divide each side by '4'. k = 7.75 Simplifying k = 7.75Solution
k = {0, 7.75}
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